Concerning the article by V. M. Agranovich and V. L. Ginzburg ?Phenomenological electrodynamics of gyrotropic media?

Bokut, B. V.; Serdyukov, A. N.; Fedorov, F. I.

doi:10.1007/bf00610769

Cited by 9 publications

(13 citation statements)

References 3 publications

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“…The symmetries and the identically vanishing elements are common to all OA tensors whatever the set of CRs used. They were first reported by Voigt [ 13,14 ] and independently reestablished, using a different approach, some 70 years later by Fedorov in the first [ 39 ] as well as tabulated in the third [ 60 ] of his series of three landmark papers. More specifically, Voigt's derivation exploits the algebraic properties of polar and axial vectors, whereas Fedorov's geometric approach is based on the systematic application of symmetry operations leaving invariant a given crystal class.…”

Section: Oa and Gyration Tensorsmentioning

confidence: 99%

“…Following the approaches of Voigt, [ 13,14 ] Bokut, and Fedorov, [ 60 ] as well as of Jerphagnon and Chemla, [ 62 ] we decompose identically the OA tensor τ (equal to f , α ,

f'

, or

α'

depending on the OA CRs used) into isotropic, traceless symmetric and antisymmetric parts.

τ = \frac{1}{3} tr (τ) I + [\frac{1}{2} (τ + {boldτ}^{T}) - \frac{1}{3} tr (τ) I] + \frac{1}{2} (τ - {boldτ}^{T})

…”

Section: Oa and Gyration Tensorsmentioning

confidence: 99%

“…By applying the covariant technique presented by Fedorov in his third seminal paper [ 60 ] to Equation (), one readily obtains the explicit form of Fresnel's biquadratic equation

\begin{matrix} n^{4} [(u ε u) (u μ' u) / \det (μ') + ({boldu}^{\times} g u) {μ'}^{- 1} ({boldu}^{\times} g u)] \\ - n^{2} [(g u) ε (g u) - tr ({boldε}^{- 1} {boldu}^{\times} μ {bold'}^{- 1} {boldu}^{\times}) \det (ε)] + \det (ε) = 0 \end{matrix}

useful for both theoretical analysis and numerical calculations (the notation “tr” stands for trace). For both refractive indices

n_{1}

and

n_{2}

to be real one must obviously require that

n_{1}^{2} + n_{2}^{2} = \frac{false(g u false) ε false(g u false) - tr false({boldε}^{- 1} {boldu}^{\times} μ {bold'}^{- 1} {boldu}^{\times} false) \det false(boldε false)}{false(u ε u <...>}

…”

Section: Appendix Amentioning

confidence: 99%

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Constitutive Relations for Optically Active Anisotropic Media: A Review

Ossikovski

Arteaga

Sturm

2021

Advanced Photonics Research

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In the seventh paper of his seminal series, Jones defined the eponymous differential matrix governing the evolution of the transverse electric field along the wave normal of polarized light propagating in an infinite (bulk) homogeneous medium. [1] If an overall proportionality constant is disregarded, the complex 2 Â 2 Jones differential matrix depends on three sets of complex parameters that can be attributed physical meaning. More specifically, the real and imaginary parts of each complex parameter are called, respectively, birefringence and dichroism and are proportional to the difference of the real and the imaginary parts of the refractive indices "seen" by the polarized light. Two of the three sets of birefringence and dichroism are referred to as being linear, whereas the last set is termed "circular," with reference to the types of polarizations that propagate unaltered by them.Jones noted that the optical anisotropy and the (anisotropic) absorption of the homogeneous medium are the physical origins of linear birefringence and dichroism, respectively. [2] However, to complete the differential matrix phenomenological picture and identify the physical origins of circular birefringence and dichroism, the presence in the homogeneous medium of an additional physical property distinct from anisotropy and absorption is necessary. This specific property present in certain media is called optical activity (OA).OA was discovered experimentally in crystals (quartz) by Arago, [3] as well as in liquids (turpentine) and solutions (sugar in water) by Biot [4] about 200 years ago. Fresnel was the first to describe it phenomenologically as the difference of refractive indices probed by two circularly polarized light waves of opposite handedness. [5] Some 20 years after Fresnel, Cauchy advanced the first formal description of OA within the framework of the elastic theory of light. [6] The advent of modern electromagnetic theory of light by the second half of the 19th century imposed revisiting and redeveloping the formalism of OA. The constitutive relations (CRs) used to account for the anisotropy and absorption present in material media were extended to include OA by Gibbs, [7] Drude, [8][9][10] and Voigt [11][12][13][14] in the very end of the 19th century. However, unlike that of anisotropy and absorption, the formal phenomenological description of OA is not unique but can rather be conducted in several different ways.

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Section: Oa and Gyration Tensorsmentioning

confidence: 99%

“…Following the approaches of Voigt, [ 13,14 ] Bokut, and Fedorov, [ 60 ] as well as of Jerphagnon and Chemla, [ 62 ] we decompose identically the OA tensor τ (equal to f , α ,

f'

, or

α'

depending on the OA CRs used) into isotropic, traceless symmetric and antisymmetric parts.

τ = \frac{1}{3} tr (τ) I + [\frac{1}{2} (τ + {boldτ}^{T}) - \frac{1}{3} tr (τ) I] + \frac{1}{2} (τ - {boldτ}^{T})

…”

Section: Oa and Gyration Tensorsmentioning

confidence: 99%

“…By applying the covariant technique presented by Fedorov in his third seminal paper [ 60 ] to Equation (), one readily obtains the explicit form of Fresnel's biquadratic equation

\begin{matrix} n^{4} [(u ε u) (u μ' u) / \det (μ') + ({boldu}^{\times} g u) {μ'}^{- 1} ({boldu}^{\times} g u)] \\ - n^{2} [(g u) ε (g u) - tr ({boldε}^{- 1} {boldu}^{\times} μ {bold'}^{- 1} {boldu}^{\times}) \det (ε)] + \det (ε) = 0 \end{matrix}

useful for both theoretical analysis and numerical calculations (the notation “tr” stands for trace). For both refractive indices

n_{1}

and

n_{2}

to be real one must obviously require that

n_{1}^{2} + n_{2}^{2} = \frac{false(g u false) ε false(g u false) - tr false({boldε}^{- 1} {boldu}^{\times} μ {bold'}^{- 1} {boldu}^{\times} false) \det false(boldε false)}{false(u ε u <...>}

…”

Section: Appendix Amentioning

confidence: 99%

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Constitutive Relations for Optically Active Anisotropic Media: A Review

Ossikovski

Arteaga

Sturm

2021

Advanced Photonics Research

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“…Chiral metamaterials, where polarization depends on both electric and magnetic fields, are also directly related to DNG. The material equations of such media can be expressed in the form [177,178]:…”

Section: Chiral Nanoparticles and Metamaterialsmentioning

confidence: 99%

Control of the emission of elementary quantum systems using metamaterials and nanometaparticles

Климов¹

2021

Phys.-Usp.

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The most important direction in the development of fundamental and applied physics is the study of the properties of optical systems at nanoscales for creating optical and quantum computers, biosensors, single-photon sources for quantum informatics, DNA sequencing devices, detectors of various fields, etc. In all these cases, nanosize light sources such as dye molecules, quantum dots (epitaxial or colloidal), color centers in crystals, and nanocontacts in metals are of utmost importance. In the nanoenvironment, the characteristics of these elementary quantum systems—pumping rates, radiative and nonradiative decay rates, the local density of states, lifetimes, level shifts—experience changes, which can be used to create nanosize light sources with the desired properties. Modern theoretical and experimental works on controlling the emission of elementary quantum systems with the help of plasmonic and dielectric nanostructures, metamaterials, and metamaterial nanoparticles are analyzed.

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“…In the description of classical fields in the presence of chiral spherical particles, we will use the method proposed in [4,28]. At the same time, to describe the chiral medium, we use the constitutive equations in the Fedorov's form [29]:…”

Section: Quantization Of the Electromagnetic Field In The Pres-ence O...mentioning

confidence: 99%

The influence of chiral spherical particles on the radiation of optically active molecules

Гузатов

Климов

2012

New J. Phys.

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Within the framework of nonrelativistic quantum electrodynamics, a theory of spontaneous emission of a chiral molecule located near a chiral (bi-isotropic) spherical particle is developed. It is shown that the structure of photons in the presence of chiral spherical particles differs significantly from the structure of usual transverse electric and transverse magnetic photons. Exact analytical expressions for a spontaneous emission decay rate of a chiral molecule with arbitrary electric and magnetic dipole moments of transition located near a chiral spherical particle with arbitrary parameters, are obtained and analyzed in detail. Simple asymptotes for the case of a nanoparticle are obtained. Substantial influence of even small chirality on a sphere made from dielectric or double negative metamaterial is found. It is shown that by using chiral spherical particles it is possible to effectively control the radiation of a given enantiomer of optically active molecules.

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Concerning the article by V. M. Agranovich and V. L. Ginzburg ?Phenomenological electrodynamics of gyrotropic media?

Cited by 9 publications

References 3 publications

Constitutive Relations for Optically Active Anisotropic Media: A Review

Constitutive Relations for Optically Active Anisotropic Media: A Review

Control of the emission of elementary quantum systems using metamaterials and nanometaparticles

The influence of chiral spherical particles on the radiation of optically active molecules

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